Wójcik, P. (2017). Operators Reversing Orthogonality and Characterization of Inner Product Spaces. Khayyam Journal of Mathematics, 3(1), 22-24. doi: 10.22034/kjm.2017.44746
Paweł Wójcik. "Operators Reversing Orthogonality and Characterization of Inner Product Spaces". Khayyam Journal of Mathematics, 3, 1, 2017, 22-24. doi: 10.22034/kjm.2017.44746
Wójcik, P. (2017). 'Operators Reversing Orthogonality and Characterization of Inner Product Spaces', Khayyam Journal of Mathematics, 3(1), pp. 22-24. doi: 10.22034/kjm.2017.44746
Wójcik, P. Operators Reversing Orthogonality and Characterization of Inner Product Spaces. Khayyam Journal of Mathematics, 2017; 3(1): 22-24. doi: 10.22034/kjm.2017.44746
Operators Reversing Orthogonality and Characterization of Inner Product Spaces
Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, 30-084 Kraków, Poland.
Abstract
In this short paper we answer a question posed by Chmieliński in [Adv. Oper. Theory, 1 (2016), no. 1, 8-14]. Namely, we prove that among normed spaces of dimension greater than two, only inner product spaces admit nonzero linear operators which reverse the Birkhoff orthogonality.
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